Calculatorism

Mixing Temperature Calculator

Find mixture temperature T = (m₁c₁T₁+m₂c₂T₂)/(m₁c₁+m₂c₂) by heat balance.

Input Data

Input Mass m₁.
kg
Input Specific heat c₁.
J/(kg·K)
Input Temperature T₁.
°C
Input Mass m₂.
kg
Input Specific heat c₂.
J/(kg·K)
Input Temperature T₂.
°C

Results

50°C
T = (m₁c₁T₁+m₂c₂T₂)/(m₁c₁+m₂c₂) = 50.0000 °C

At a glance:Mixing Temperature Calculator: enter parameters to compute results; complements related calculators.

Formula

T = (m₁c₁T₁ + m₂c₂T₂) / (m₁c₁ + m₂c₂)

heat balance m₁c₁(T₁−T) = m₂c₂(T−T₂)

How to Use

  1. Enter both masses, specific heats and initial temps.
  2. Get equilibrium mixture temperature T.

Case Studies

Equal water 100°C with 0°C

T = 50 °C.

FAQ

With phase change?

Assumes no phase change; freezing/boiling needs latent-heat terms.

Related Tools

References

Content review: Calculatorism Science Team. Formula and numeric tests verified; results for reference only.

Found a problem with the results?

If this calculator's result is wrong, or you have any question about the calculation logic, please let us know. You are viewing:Mixing Temperature Calculator/physics/mixing-temperature)。